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Finding the Fourth Proportional to 81,346.88, 122,207.64 and 57,713.11

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Solution

The fourth proportional to 81,346.88, 122,207.64 and 57,713.11 is: 86,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,346.88 : 122,207.64 = 57,713.11 : x
  2. Step 2: Convert to fraction form
    81,346.88/122,207.64 = 57,713.11/x
  3. Step 3: Cross multiply
    81,346.88x = 122,207.64 × 57,713.11
  4. Step 4: Simplify right side
    81,346.88x = 7,052,982,448.22
  5. Step 5: Solve for x
    x = 7,052,982,448.22/81,346.88
  6. Step 6: Final answer
    x = 86,702.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.